Obstructions to free actions on Bazaikin spaces
| Autor: | Samani, Elahe Khalili |
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| Rok vydání: | 2019 |
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| Druh dokumentu: | Working Paper |
| Popis: | Apart from spheres and an infinite family of manifolds in dimension seven, Bazaikin spaces are the only known examples of simply connected Riemannian manifolds with positive sectional curvature in odd dimensions. We consider positively curved Riemannian manifolds whose universal covers have the same cohomology as Bazaikin spaces and prove structural results for the fundamental group in the presence of torus symmetry Comment: Improved the presentation, simplified proofs and reformulated Lemma 4.1 |
| Databáze: | arXiv |
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